Showing papers on "Game tree published in 1974"
48 citations
TL;DR: The nucleolus is a unique solution concept for a cooperative game and belongs to the kernel of the game given m games over disjoint sets of players and an m-player game, one defines a compound game over the union of the m disjunoint sets These m games are the components and the above mplayer game is called the quotient as discussed by the authors.
Abstract: The nucleolus is a unique solution concept for a cooperative game It belongs to the kernel of the game Given m games over disjoint sets of players and an m-player game, one defines a compound game over the union of the m disjoint sets These m games are the components and the above m-player game is called the quotientThe nucleolus of the compound game is a combination of the nucleoluses of the components, ie, the payoffs in the components are proportional to the payoffs in the compound The combination depends on the quotient game and on the two highest levels of excesses with respect to the nucleoluses of the components This combination is the solution of a problem of the same nature as that of the nucleolus
14 citations
9 citations